Statistical inference about the shape parameter of the new two-parameter bathtub-shaped lifetime distribution

被引：38
|
作者：
Wu, JW [1 ]
Lu, HL
Chen, CH
Wu, CH
机构：
[1] Tamkang Univ, Dept Stat, Taipei 25137, Taiwan
[2] Chia Nan Univ Pharm & Sci, Dept Management Informat Sci, Tainan, Taiwan
[3] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan
来源：
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL | 2004年 / 20卷 / 06期
关键词：
shape parameter; bathtub-shaped; failure rate function; exact confidence interval; testing hypotheses; censored sample;
D O I：
10.1002/qre.572
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper proposes a simple and exact method for conducting a statistical test about the shape parameter of the new two-parameter lifetime distribution with a bathtub-shaped or increasing failure rate function, as well as an exact confidence interval for the same parameter. The necessary critical values of the test are given. The method provided in this paper can be used for type II right censored data. Moreover, Monte Carlo simulation and an example are used to compare this new method to the existing approach of Chen (Statistics and Probability Letters 2000; 49:155-161). Copyright (C) 2004 John Wiley Sons, Ltd.
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页码：607 / 616
页数：10
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